We investigate the structure of global inter-firm relationships using a unique dataset containing information on customers, suppliers, licensors, licensees and strategic alliances for each of 412,814 major incorporated non-financial firms in the world. We focus on three different networks: customer-supplier network, licensee-licensor network, and strategic alliance network. In/out-degree distri...

For the M=G=1 uid model the stationary distribution of the buuer content is investigated for the case that the message length distribution B(t) has a Pareto-type tail, i.e. behaves as 1 ? O(t ?) for t ! 1 with 1 < < 2. This buuer content distribution is closely related to the stationary waiting time distribution W (t) of a stable M=G=1 model with service time distribution B(t), in particular wh...

Knowledge concerning the family of univariate continuous distributions with density function f and distribution function F defined through the relation f(x) = F (x)(1 − F (x)), α, β ∈ R, is reviewed and modestly extended. Symmetry, modality, tail behaviour, order statistics, shape properties based on the mode, L-moments and — for the first time — transformations between members of the family ar...

The distribution of wealth in the Hungarian medieval aristocratic society is reported and studied. The number of serf families belonging to a noble is taken as a measure of the corresponding wealth. Our results reveal the power-law nature of this distribution function, confirming the validity of the Pareto law for such a society. The obtained Pareto index α = 0.92 is however smaller than the va...

An interactive pareto optimal with advantage (IPOA) approach for bi-objective programming is proposed and applied on capacitor placement and sizing problem. Two main contradictory concerned which including cost and quality properties are considered as bi-objective programming formulation. The IPOA approach can provide a valuable trade-off pareto-optimal solution by following the intention of de...

When the Melitz model is implemented in practice, the industrial productivity distribution is often assumed to be of Pareto form. In this case, a fundamental relationship κ > σ − 1must hold to guarantee the convergence of the industrial average productivity, where κ is the concentration degree of the industrial productivity Pareto distribution and σ is the substitution elasticity across varieti...

The process of mutation has been studied extensively in the field of biology and it has been shown that it is one of the major factors that aid the process of evolution. Inspired by this a novel genetic algorithm (GA) is presented here. Various mutation operators such as small mutation, gene mutation and chromosome mutation have been applied in this genetic algorithm. In order to facilitate the...

When ; it comes to evaluating lakes at regional and global scales, a key need is accurate estimates of the abundance and size-distribution of lakes, which are usually described with the Pareto distribution. We demonstrate the considerable uncertainty that truncation in the lower tail of the Pareto distribution introduces into lake abundance estimates and the selection of the lake size-distribut...

The effect of undersampling on estimating the size of extreme natural hazards from historical data is examined. Tests using synthetic catalogs indicate that the tail of an empirical size distribution sampled from a pure Pareto probability distribution can range from having one-to-several unusually large events to appearing depleted, relative to the parent distribution. Both of these effects are...

The aim of this paper is to study the estimation of Pareto distribution on the basis of progressive type-II censored sample. First, the maximum likelihood estimator (MLE) is derived. Then the Bayes estimator of the unknown parameter of Pareto distribution is derived on the basis of Gamma prior distribution under entropy loss function. Further the empirical Bayes estimator also obtained by using...